Digital illustration of a boost converter with real-time inductance and capacitance adjustment.

Boost Your Converter's Performance: How to Identify Inductance and Capacitance Online

"Unlock peak efficiency and responsiveness in your boost converter with real-time inductance and capacitance identification."


In today's world, digitally controlled DC-DC converters have become incredibly important, and are now a popular research area. They are less sensitive to system noise and changing component values, and also allow for complex control methods and online updates. This makes them ideal for many modern applications.

Among the various control techniques used in digital DC-DC converters, voltage mode and current mode control are two popular approaches. Both rely on accurate converter modeling, but face a common challenge: the inductance of the inductor and the capacitance of the output capacitor can change over time due to temperature variations, aging, and load conditions. These changes directly impact the performance of the converter.

To tackle this issue, researchers have been exploring ways to identify inductance and capacitance online, allowing for real-time adjustments that maintain optimal performance. This article dives into a promising solution: a Variable Forgetting Factor Recursive Least-Squares (VFF-RLS) algorithm designed specifically for boost converters. Let's explore how this algorithm works and what makes it such an attractive option.

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Why Online Parameter Identification Matters

Boost-converter performance is affected by inductance and capacitance variation, while converter operation and losses depend on topology and operating conditions. A study in Analysis of Loss Characteristics and Inductance Reduction in ... mathematically compares asynchronous and synchronous boost converters and derives reverse-current boundary conditions by varying inductance. Another study, Identifying Parameter of Boost Converter Based on Data and ..., proposes identifying parameters of a UC3842-controlled boost converter through actual data and mechanism analysis to monitor device aging or failure.

From RLS to VFF-RLS

The control performance of a boost converter suffers when important component parameters, including inductance and capacitance, vary. The proposed online method uses a variable forgetting factor recursive least-squares (VFF-RLS) algorithm to identify those parameters. The 2018 source and its ResearchGate record both describe VFF-RLS as the proposed approach, while the related discussion characterizes it as an advancement over standard RLS methods for online identification.

The Key: Online Inductance and Capacitance Identification with RLS

Digital illustration of a boost converter with real-time inductance and capacitance adjustment.

The core of this method lies in accurately identifying the inductance (L) and capacitance (C) values while the boost converter is running. By continuously monitoring and adjusting these parameters, the converter can maintain its desired performance despite any changes in operating conditions or component characteristics.

The process starts with a dynamic adjustment to the voltage reference, creating a small, controlled disturbance. Then, by measuring the input voltage, output voltage, and inductor current, the algorithm can calculate the inductance and capacitance using the Recursive Least-Squares (RLS) method. This adaptive approach allows for continuous learning and correction.

  • Accurate Converter Modeling: Improved discrete-time average state equation that considers inductor current ripple, enhancing accuracy in parameter identification.
  • Online Identification: Real-time adaptation of inductance and capacitance through RLS algorithm, enabling continuous monitoring and adjustment.
  • Nonlinearity Mitigation: Elimination of boost converter's nonlinearity effects on parameter identification within the models.
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Adaptive Models for Modern Boost Control

A 2018 MATEC Web of Conferences record states that boost-converter control performance suffers from variations in important component parameters such as inductance and capacitance. More recent work on T-S fuzzy model predictive control for a dual boost converter uses fuzzy rules so the inductance model can represent nonlinear characteristics. That model is combined with a discrete mathematical model to create a high-precision predictive model.

Why Failure Analysis Remains Difficult

A PFC or boost-converter failure at the frontend can cause total system failure, and conventional failure analysis takes more time to identify the root cause. Conventional part-failure analysis considers component type, number, and connection status, but does not reflect failure rates according to the converter's operating characteristics. Fault-tree analysis instead represents the cause, effect, and result of faults to predict failure rates while considering operational risk.

Inductance Depends on Operating Conditions

Boost converters may operate in continuous conduction mode, discontinuous conduction mode, or both, with the mode depending substantially on input voltage and load. Calculating the inductance required to guarantee continuous conduction requires choosing the input voltage or duty cycle used in the calculation. Texas Instruments cautions that an initial inductor-selection suggestion is only a starting point for a low-power boost converter, not the only or necessarily most important factor in determining inductance, and illustrates a selection process using the TPS61046.

However, a standard RLS algorithm uses a fixed 'forgetting factor,' which determines how much weight is given to recent data versus past data. A fixed value can be a problem: a value too close to 1 results in high precision but poor tracking of changes. Decreasing the value improves tracking, but reduces accuracy in stable conditions. The VFF-RLS algorithm addresses this by dynamically adjusting the forgetting factor.

The Future of Converter Control

The VFF-RLS algorithm offers a practical and effective way to maintain optimal performance in boost converters by dynamically identifying and compensating for variations in inductance and capacitance. Its simplicity and low hardware requirements make it a compelling solution for a wide range of applications, paving the way for more robust and efficient power electronic systems.

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Growing Applications and Markets

Boost converters are described as essential in applications including solar panels, batteries, LED circuits, and wireless transmission devices. One market forecast projects the Boost Converter IC Market will grow from 2,164.2 USD Million in 2025 to 4,000 USD Million by 2035, with an expected CAGR of about 6.3% from 2026 to 2035. A separate forecast gives the broader Boost Converter Market a projected CAGR of 8.8% from 2025 to 2035, driven by demand for efficient power conversion in consumer electronics and renewable energy systems.

Testing Under Real Loads

A Boost Converter Design and Testing Report describes load testing under various conditions using laboratory-provided 25 Ω and 50 Ω resistors. The resistors were combined in series or parallel to create different equivalent resistances and power levels at a 48V output. Separately, a study using the state-variables method obtained equations for boost-converter operating conditions and selected the method because it produced a small number of equations.

About this Article -

Written with AI assistance from published research, and reviewed by the Mystum team. See our About page for more information.

Everything You Need To Know

1

What is a Variable Forgetting Factor Recursive Least-Squares (VFF-RLS) algorithm and how does it work with a boost converter?

A Variable Forgetting Factor Recursive Least-Squares (VFF-RLS) algorithm is used to identify the inductance and capacitance in real-time while the boost converter is running. By continuously monitoring and adjusting these parameters, the converter maintains its desired performance despite any changes in operating conditions or component characteristics. This adaptive approach allows for continuous learning and correction.

2

Why is it important to identify inductance and capacitance online in a boost converter?

The ability to identify inductance and capacitance online is important because the inductance of the inductor and the capacitance of the output capacitor can change over time due to temperature variations, aging, and load conditions. These changes directly impact the performance of the converter. Without online identification, the boost converter's performance may degrade over time.

3

How does the Recursive Least-Squares (RLS) method work, and what is the role of the 'forgetting factor' in the Variable Forgetting Factor Recursive Least-Squares (VFF-RLS) algorithm?

The Recursive Least-Squares (RLS) method is used to calculate the inductance and capacitance by measuring the input voltage, output voltage, and inductor current. A standard RLS algorithm uses a fixed 'forgetting factor' which determines how much weight is given to recent data versus past data. The Variable Forgetting Factor Recursive Least-Squares (VFF-RLS) algorithm improves upon this by dynamically adjusting the forgetting factor.

4

What are voltage mode and current mode control, and how are they related to inductance and capacitance in digital DC-DC converters?

Voltage mode and current mode control are two popular approaches used in digital DC-DC converters. Both rely on accurate converter modeling, but face a common challenge: the inductance of the inductor and the capacitance of the output capacitor can change over time. The concepts of voltage mode and current mode control are important because their performance is linked to the accuracy of the inductance and capacitance values, making online identification methods valuable.

5

What are the main advantages of using online inductance and capacitance identification in boost converters?

The key advantages include: Accurate Converter Modeling: Improved discrete-time average state equation that considers inductor current ripple, enhancing accuracy in parameter identification. Online Identification: Real-time adaptation of inductance and capacitance through the RLS algorithm, enabling continuous monitoring and adjustment. Nonlinearity Mitigation: Elimination of boost converter's nonlinearity effects on parameter identification within the models.

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